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Q.

Water is filled in a flask up to a height of 50cm. The bottom of the flask is circular with radius 10cm. If the atmospheric pressure is 1.01×105 Pa. The force exerted by the water on the bottom is (Take g=10m/s2 and density of water = 1000 kg / m3)

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a

3328N

b

2200N

c

1000N

d

3420N

answer is A.

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Detailed Solution

The pressure at the surface of the water is equal to the atmospheric pressure p0. The pressure at the bottom is  p=p0+hdg

p=1.01×105Pa+(0.50m)(1000kg/m3)(10m/s2) p=1.01×105Pa+0.05×105Pa p=1.06×105Pa

The area of the bottom  =πr2
=314×103 =3141000=0.314                   
The force on the bottom is, therefore,
F=P×πr2 F=(1.06×105Pa)(0.0314m2) F=3328N

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